another, other: a second or different one of the same kind, set apart from the one already in view
This is the everyday Hebrew word for "another" or "other." It marks one thing off against a thing already named: a further one of the same kind (one more), or a separate, distinct one that is not the same as the first. The two shades sit close together and the line between them often depends only on context, which is why a single core idea, "not this one, but a different one," carries the whole range.
What makes the word matter is one fixed phrase built on it. Joined to the word for God, it produces "other gods," the standard expression for any deity worshiped alongside or instead of the LORD. That phrase runs through the law, the history books, and the prophets as the shorthand for Israel's central temptation, so the otherwise plain adjective carries enormous theological weight in this one collocation.
The three senses below are facets of that single idea rather than separate words. The reader can keep "another / other" in mind throughout and let the context decide whether the stress falls on "one more" or on "a different one."